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Finding the Fourth Proportional to 31,137.80, 46,705.38 and 14,492.10

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Solution

The fourth proportional to 31,137.80, 46,705.38 and 14,492.10 is: 21,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.80 : 46,705.38 = 14,492.10 : x
  2. Step 2: Convert to fraction form
    31,137.80/46,705.38 = 14,492.10/x
  3. Step 3: Cross multiply
    31,137.80x = 46,705.38 × 14,492.10
  4. Step 4: Simplify right side
    31,137.80x = 676,859,037.50
  5. Step 5: Solve for x
    x = 676,859,037.50/31,137.80
  6. Step 6: Final answer
    x = 21,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.